There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 418...

There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 418 people were observed entering the building. The number using each entrance is reported below. At the 0.05 significance level, is there a difference in the use of the four entrances?

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H
₀: π₁ = π₂ = π₃ = π₄

H
₁: The proportions are not equal.

State the decision rule. Use 0.05 significance level.(Round your answer to 3 decimal places.)

How many degrees of freedom are there?

Compute the value of chi-square.(Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Roundf_e,(f_o - f_e) and(f_o - f_e)
²
/f_e
) to 2 decimal places. Roundχ
² to 2 decimal places.)

What is your decision regardingH
₀?